526852512 has 240 divisors, whose sum is σ = 1650227040. Its totient is φ = 164602368.

The previous prime is 526852511. The next prime is 526852517. The reversal of 526852512 is 215258625.

It is a happy number.

526852512 is a `hidden beast` number, since 526 + 85 + 2 + 51 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

Its product of digits (48000) is a multiple of the sum of its prime divisors (240).

It is not an unprimeable number, because it can be changed into a prime (526852511) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3232143 + ... + 3232305.

It is an arithmetic number, because the mean of its divisors is an integer number (6875946).

Almost surely, 2^526852512 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 526852512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (825113520).

526852512 is an abundant number, since it is smaller than the sum of its proper divisors (1123374528).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

526852512 is a wasteful number, since it uses less digits than its factorization.

526852512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 257 (or 240 counting only the distinct ones).

The product of its digits is 48000, while the sum is 36.

The square root of 526852512 is about 22953.2680026178. The cubic root of 526852512 is about 807.6620650026.

The spelling of 526852512 in words is "five hundred twenty-six million, eight hundred fifty-two thousand, five hundred twelve".